Two factories mamufacture the Number of Defects same machine parts. Each part is classified as having either 0, 1. 2 or 3 mamufacturing defects. The joint probability for this is given in the adjoining Table. (i) A part is observed to have no defect. What is the probability that it was produced by X manufacturer? (ii) A part is known to have been produced by mamufacturer X. What is the probability that the part has no defects ? Manufacturer 3 0-1250 0-0625 0-1875 0-1250 Y 0-0625 0-0625 0-1250 0-2500 (iii) A part is known to have ttwo or more defects. What is the probability that it was manufactured by X? (iv) A part is known to have one or more defects. What is the probability that it was manufactured by Y ?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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Two factories mamufacture the
Number of Defects
same machine parts. Each part is classified as
having either 0, 1, 2 or 3 mamufacturing defects.
The joint probability for this is given in the
adjoining Table.
(i) A part is observed to have no defect. What
is the probability that it was produced by X mamufacturer ?
Manufacturer
21
3
0-1250
0-0625
0-1875
0-1250
Y
0-0625
0-0625
0-1250
0-2500
(ii) A part is known to have been produced by mamufacturer X. What is the probability that the part has
no defects ?
(iii) A part is known to have two or more defects. What is the probability that it was manufactured
by X?
(iv) A part is known to have one or more defects. What is the probability that it was manufactured by
Y ?
Transcribed Image Text:Two factories mamufacture the Number of Defects same machine parts. Each part is classified as having either 0, 1, 2 or 3 mamufacturing defects. The joint probability for this is given in the adjoining Table. (i) A part is observed to have no defect. What is the probability that it was produced by X mamufacturer ? Manufacturer 21 3 0-1250 0-0625 0-1875 0-1250 Y 0-0625 0-0625 0-1250 0-2500 (ii) A part is known to have been produced by mamufacturer X. What is the probability that the part has no defects ? (iii) A part is known to have two or more defects. What is the probability that it was manufactured by X? (iv) A part is known to have one or more defects. What is the probability that it was manufactured by Y ?
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